eng Science and Education Publishing Turkish Journal of Analysis and Number Theory 2333-1232 2017-01-05 5 2 27 30 10.12691/tjant-5-2-1 TJANT2017521 article S.Sunitha Devi 1 K.L.Sai Prasad klsprasad@yahoo.com 2 G.V.S.R. Deekshitulu 3 Department of Mathematics, Vignan Institute of Information Technology, Visakhapatnam, Andhra Pradesh, India Department of Mathematics, Gayatri Vidya Parishad College of Engineering for Women, Visakhapatnam, Andhra Pradesh, India Department of Mathematics, Jawaharlal Nehru Technological University, Kakinada, Andhra Pradesh, India The object of this paper is to obtain the characterisation of para-Kenmotsu (briefly P-Kenmotsu) manifold satisfying the conditions R(,X).C-C(,X).R= 0 and R(,X).C-C(,X).R=LcQ(g,C), where C(X,Y) is the Weyl-conformal curvature tensor, Lc is some function and X T(Mn). It is shown respectively that the P-Kenmotsu manifold with these conditions is an -Einstein manifold and the manifold is either conformally flat (or) Lc = -1 holds on the manifold. http://pubs.sciepub.com/tjant/5/2/1/tjant-5-2-1.pdf Curvature Tensor Ricci Tensor Weyl-semisymmetric para-Kenmotsu manifold Einstein manifold